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Finding the Fourth Proportional to 542,861.49, 814,298.13 and 163,785.62

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Solution

The fourth proportional to 542,861.49, 814,298.13 and 163,785.62 is: 245,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,861.49 : 814,298.13 = 163,785.62 : x
  2. Step 2: Convert to fraction form
    542,861.49/814,298.13 = 163,785.62/x
  3. Step 3: Cross multiply
    542,861.49x = 814,298.13 × 163,785.62
  4. Step 4: Simplify right side
    542,861.49x = 133,370,319,401.20
  5. Step 5: Solve for x
    x = 133,370,319,401.20/542,861.49
  6. Step 6: Final answer
    x = 245,680.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.